Permanent Coexistence for a Linear Response Omnivory Model

J.A. Vance (USA)


Permanent Coexistence, Permanence, Omnivory, In traguild Predation


In mathematical ecology, the question of long-term sur vival for each species in a set of populations is very impor tant. This paper focuses on populations that interact in a mixture of competition and predation known as omnivory. Omnivory is deļ¬ned as the consumption of resources from more than one trophic level. Simple mathematical models have been developed for systems with omnivory. However, equilibrium analysis on these models shows that species extinction is likely. In this work, we investigate a differen tial equation model with linear responses and show under certain parameter restrictions that the model is permanent or permanently coexistent.

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